As you look at the fabric (fully open, not folded) "away" means it's the side you can't see. They are also calling the "bottom" what we often consider the back(wrong) side.
Towards means the side you can see. so it's saying put the good(right) facing down (you can not see) and the back (wrong) side facing up, so you can see it.
Peicing is very forgiving about wrong/right, up/down, bias/straight grain. Most other sewing is not.